What is the mean of the following numbers?
11, 3, 5, 13

The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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Answer:

volume of the hemisphere

\( \frac{1}{2} \times \frac{4}{3} \times \pi \times {3}^{3} \\ \frac{2}{3} \times 27 \times \pi \\ 18\pi {cm}^{3} \)

Answer:

It would be D ^^

Step-by-step explanation:

I learned this 2 years ago lol <3

Answer: 0.7

Step-by-step explanation: Hope it's right.

Answer:

I think it would be 0.300 + 0.04 + 0.003

Step-by-step explanation:

In expanded form we break up a number according to its place value and expand it to show the value of each digit. For example, the expanded form of 943 is given. 9 blocks of hundreds 4 blocks of tens 3 blocks of ones. 9 hundreds 4 tens 3 ones expanded Form: 900 + 40 + 3.

Answer:

f/d

Step-by-step explanation:

Answer:

X= -9

Step-by-step explanation:

A) The y-intercept of the given is 43.13 and coordinates is,

\((x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)\)

B) The y-intercept represent the constant variable.

What is y-intercept?

 In mathematics, the intersection point is the point on the y-axis through which the slope of the line passes. The y-intercept is where the line or curve intersects or touches the y-axis. This is the vertical, often dark line in the middle of the chart. The y-intercept of a chart is the point where the chart intersects the y-axis. Y-INTERCEPT means the y-coordinate of the point where the line, curve, or surface intersects the y-axis.

in given problem take number of text represent as x coordinate and cost of month represent y coordinate , then

\((x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)\)

Now using slope formula ,

slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> slope m = 3.65/73 = 0.05

Now using equation formula ,

\(y-y_1=m(x-x_1)\)

=> y-45 = 0.05(x-37.25)

=> y-45 = 0.05x-1.8625

=> y= 0.05x+45-1.8625

=> y = 0.05x+43.13

Here we know that equation general form is y = mx+b ,  where b is

y intercept.

Therefore y intercept is 43.13 and it represent the constant variable.

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Answer:

The boat will travel 16 miles in 1 hour (B)

Step-by-step explanation:

Find unit rate

32/2

Which is 16

and therefore 16/1

Answer:

N=2

Step-by-step explanation:

3n+2=8

CLT

3n=8-2

3n=6

DBS by 3

3n/3=6/3

N=2

Not enough information is provided to determine the x-coordinate.

To determine the x-coordinate of the first car location at 8:30 PM, we need more information about the specific context or scenario. The x-coordinate is typically used to represent the horizontal position of an object on a coordinate plane. Without knowing the initial position or any information about the movement or velocity of the car, it is not possible to determine the exact x-coordinate at a specific time.

If additional details are provided, such as the initial position of the car or any information related to its movement, we can use that information to calculate the x-coordinate at 8:30 PM. However, without any specific context or given data, it is not possible to provide a meaningful answer to this question.

Therefore, without further information, it is not possible to determine the x-coordinate of the first car location at 8:30 PM.

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The total surface area of the figure that will enable Lisa to find the total cost per square is: 42 ft²

To find the total surface area of the figure that will enable Lisa to find the total cost per square area, we need to find both areas of rectangle and parallelogram and add up. Thus:

Area of rectangle = Length * Width

Area = 5 * 6

Area = 30 ft²

The formula for the area of the parallelogram is:

Area = Base * perpendicular height

Area = 3 * √(5² - 3²)

Area = 3 * 4

Area = 12 ft²

Total surface area = 30 + 12

Total surface area = 42 ft²

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The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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A) The exact cost of producing the 31st food processor is $3771.70. B)  Using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.

(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1900 + 60x - 0.3x^2:

C(31) = 1900 + 60(31) - 0.3(31)^2

C(31) = 1900 + 1860 - 0.3(961)

C(31) = 1900 + 1860 - 288.3

C(31) = 3771.7

Therefore, the exact cost of producing the 31st food processor is $3771.70.

(B) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. Mathematically, it is the derivative of the cost function C(x).

Taking the derivative of C(x) = 1900 + 60x - 0.3x^2 with respect to x, we get:

C'(x) = 60 - 0.6x

To approximate the cost of producing the 31st food processor using the marginal cost, we evaluate C'(x) at x = 31:

C'(31) = 60 - 0.6(31)

C'(31) = 60 - 18.6

C'(31) ≈ 41.4

The marginal cost at x = 31 is approximately 41.4 dollars.

To approximate the cost, we add the marginal cost to the cost of producing the 30th food processor:

C(30) = 1900 + 60(30) - 0.3(30)^2

C(30) = 1900 + 1800 - 0.3(900)

C(30) = 3700

Approximate cost of producing the 31st food processor ≈ C(30) + C'(31)

≈ 3700 + 41.4

≈ 3741.4

Therefore, using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.

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The probability of getting the majority of the questions right is P(X>=3) = P(X=3) + P(X=4) + P(X=5) = 15/128 + 6/1024 = 0.2266, rounded to four decimal places.

(a) The probability of guessing the correct answer for any single question is 1/4. Since there are no dependencies between questions, the probability of guessing the third question correctly is also 1/4. The probability of getting the first two questions wrong is (3/4)^2 = 9/16. Therefore, the probability that the first question Robin gets right is the third question is the product of these probabilities, which is (1/4)*(9/16) = 9/64. Rounded to four decimal places, this is 0.1406.

(b) To find the probability that Robin gets exactly 3 or exactly 4 questions right, we can use the binomial distribution. Let X be the number of questions Robin gets right. Then X follows a binomial distribution with n=5 and p=1/4, since each question has a probability of 1/4 of being answered correctly, and there are 5 questions in total.

The probability of getting exactly 3 questions right is P(X=3) = (5 choose 3) * (1/4)^3 * (3/4)^2 = 15/128. Similarly, the probability of getting exactly 4 questions right is P(X=4) = (5 choose 4) * (1/4)^4 * (3/4)^1 = 5/1024. The probability of getting both exactly 3 and exactly 4 questions right is 0, since they are mutually exclusive events.

Therefore, the probability of getting exactly 3 or exactly 4 questions right is P(X=3) + P(X=4) = 15/128 + 5/1024 = 0.1719, rounded to four decimal places.

(c) The majority of the questions means getting at least 3 questions right. We can calculate this probability using the binomial distribution again. The probability of getting 3 questions right is P(X=3) = 15/128, as calculated above. The probability of getting 4 or 5 questions right is P(X=4) + P(X=5) = (5 choose 4) * (1/4)^4 * (3/4)^1 + (5 choose 5) * (1/4)^5 * (3/4)^0 = 5/1024 + 1/1024 = 6/1024. Therefore, the probability of getting the majority of the questions right is P(X>=3) = P(X=3) + P(X=4) + P(X=5) = 15/128 + 6/1024 = 0.2266, rounded to four decimal places.

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Answer:

-0.544m

Step-by-step explanation:

The height of the barnacle is approximately is, 0.657 meters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Graph y = sin(x)

Boat travel= 7m

Now,

Let y be the height of the barnacle and x be the distance the boat has traveled

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7)

≈0.657.

Therefore, by algebra the answer will be 0.657 meters.

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The solutions to the equation −11x − 7 = \(-3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = \(3x^2\) - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

We are given the equation \(-11x - 7 = -3x^2\).

To solve for x, we can rearrange the equation into a quadratic form by bringing all terms to one side:

\(-3x^2 + 11x + 7\) = 0

We can solve this quadratic equation by using the quadratic formula:

x = (-b ± sqrt(\(b^2\) - 4ac)) / 2a

where a = -3, b = 11, and c = 7.

Substituting these values, we get:

x = (-11 ± sqrt(\(11^2\) - 4(-3)(7))) / 2(-3)

Simplifying inside the square root:

x = (-11 ± sqrt(121 + 84)) / (-6)

x = (-11 ± sqrt(205)) / (-6)

Using a calculator, we can approximate this to:

x ≈ -1.1 or x ≈ 6.1

Therefore, the solutions to the equation \(-11x - 7 = -3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

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Answer:

I don’t see any answer choices??

(Answer to ur question in the comments)
⬇️

Step-by-step explanation:

Answer:

Both functions are increasing, but function g is increasing faster

Step-by-step explanation:

Correct on a plato test. Have a great day!

Answer:

B. fashoooooooo

Step-by-step explanation:

Both functions are increasing, but function f is increasing faster.

Answer:

C. 11

Step-by-step explanation:

Calculating range is subtracting the highest data value(11) from the lowest data value(0)

11 - 0 = 11

Answer:

I believe it's 1.333

Step-by-step explanation:

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

It will cost $69.52 to frame Matt's math certificate in a fancy frame.

what is the meaning of cost ?

The term "cost" generally refers to the amount of resources, such as money, time, effort, or resources, that are required to produce or obtain something. It can also refer to the negative consequences or drawbacks that result from a particular action or decision.

In the given question,

The math certificate has a height of 19 cm and a width of 25 cm.

To find the total length of the frame needed, we need to add the length of all four sides of the certificate.

The top and bottom sides each have a length of 25 cm, so the total length of the top and bottom sides is 25 x 2 = 50 cm.

The left and right sides each have a length of 19 cm, so the total length of the left and right sides is 19 x 2 = 38 cm.

Adding the total length of all four sides gives us:

50 cm + 38 cm = 88 cm

To find the cost of the frame, we need to multiply the total length of the frame by the cost per centimetre:

88 cm x $0.79/cm = $69.52

Therefore, it will cost $69.52 to frame Matt's math certificate in a fancy frame.

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Options a, d, and e could describe a binary search tree while the rest doesn't.

In a binary search tree (BST), every element 'a' has certain properties regarding its position relative to other elements in the tree. Let's analyze it:

a. "Lesser than all elements in its left subtree": This statement would hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element.

b. "Greater than all elements in its left subtree": This statement would not hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element, so 'a' cannot be greater than all elements in its left subtree.

c. "Lesser than all elements in its right subtree": This statement would not hold true in a BST. In a BST, the right subtree contains elements that are greater than the current element, so 'a' cannot be lesser than all elements in its right subtree.

d. "Greater than all its descendants": This statement would hold true in a BST. In a BST, all elements in the left subtree are smaller than the current element, and all elements in the right subtree are greater. Therefore, 'a' would be greater than all its descendants.

e. "Greater than all elements in its right subtree": This statement would hold true in a BST. In a BST, the right subtree contains elements that are smaller than the current element, so 'a' can be greater than all elements in its right subtree.

In summary, options a, d, and e could describe a binary search tree, while options b and c would not accurately describe a binary search tree.

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The probability of picking a sample that is from group B, and type Rh+ is

Part A:

Given that the selection are made with replacement, the probability that the 2 selected subjects are both group B and type Rh+ is

Rounding our answer to four decimal place, the probability is 0.0138.

Part B:

If without replacement is made within the selection, the probability is changed so that

Rounding to answer to four decimal place, the probability is 0.0132

The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm

The slant height x, can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

Therefore,

x² = 4.5² + 5²

x² = 20.25 + 25

x² = 45.25

x = √45.25

x = 6.72681202354

x = 6.7 mm

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Statement C is true: Either quarterback could have completed more passes

What are basic attributes of a good conclusion?

Rephrase the thesis statement first, then explain what you mean and back it with information from the prompt to show what you mean. Describe how the evidence supports your claims in further detail.

We cannot determine which quarterback completed more passes based solely on their completion percentages.

For example, if Drew Brees attempted 100 passes and completed 73.5% of them, he would have completed 73.5 passes. If Patrick Mahomes attempted 200 passes and completed 68.8% of them, he would have completed 137.6 passes, which is more than Drew Brees.

On the other hand, if Drew Brees attempted 200 passes and completed 73.5% of them, he would have completed 147 passes, which is more than Patrick Mahomes' 137.6 completed passes in the above example.

Therefore, statement C is true: either quarterback could have completed more passes, depending on the number of passes attempted.

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Thus, probability that the sample of milk chocolate contains 25% or more orange candies is 89.44%.

When the number of n is quite big and the value of p is quite small, the Normal Approximation to Binomial Distribution might be employed. Both np and nq must have values greater than 5.

Since the normal distribution is an example of a continuous probability distribution and the binomial distribution seems to be an example of a discrete probability distribution, the continuity correction is utilised.

Given data:

Find standard deviation:

s = √p*(1 - p)/n

s = √0.2*0.8/100

s = 0.04

Z score:

z = (x - μ)/s

z = (0.25 - 0.20)/0.04

z = 1.25

Now, probability that the sample contains 25% or more orange candies:

P(x ≥ 0.25) = (z ≥ 1.25)

From z score table:

P(x ≥ 0.25) = 0.8944

P(x ≥ 0.25) = 89.44

Thus, probability that the sample of milk chocolate contains 25% or more orange candies is 89.44%.

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Answer:

132 chocolates

Step-by-step explanation:

We know that after Ramesh arranges his chocolates in rows, the number of rows multiplied by the number of chocolates in each row will give us the total number of chocolates, 17424.

Let the number of rows be x.

From the question, the number of chocolates in each row will also be x.

\(=> x * x = 17424\\\\x^2 = 17424\\\\=> \sqrt{x^2} = \sqrt{17424} \\\\x = 132\)

Therefore, he placed 132 chocolates in each row.